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SageMath
E = EllipticCurve("ca1")
E.isogeny_class()
Elliptic curves in class 161840ca
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
161840.n1 | 161840ca1 | \([0, -1, 0, -385, -22435]\) | \(-1024/35\) | \(-216272618240\) | \([]\) | \(161280\) | \(0.85528\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 161840ca1 has rank \(0\).
Complex multiplication
The elliptic curves in class 161840ca do not have complex multiplication.Modular form 161840.2.a.ca
sage: E.q_eigenform(10)